Quote:
Originally Posted by cdcox
If so 2007^3^2 = 2007^6
now factoring into primes
2007^6 = 223^6 * 3^2^6 = 223^6 * 3^12
once you've expressed a number as a product of primes raised to exponents, there is a trick where you add 1 to each exponent and multiply to get the number of factors
(6+1) * (12+1) = 7*13 = 91
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That you kind sir.
Most of these problems come down to knowing the "tricks" like this. Unfortunately, math class was a long time ago.